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Simplifying Ln(x) + -1ln(2) = ln(3x + -2) Multiply nL * x nxL + -1ln(2) = ln(3x + -2) Reorder the terms for easier multiplication: nxL + -1 * 2ln = ln(3x + -2) Multiply -1 * 2 nxL + -2ln = ln(3x + -2) Reorder the terms: -2ln + nxL = ln(3x + -2) Reorder the terms: -2ln + nxL = ln(-2 + 3x) -2ln + nxL = (-2 * ln + 3x * ln) -2ln + nxL = (-2ln + 3lnx) Add '2ln' to each side of the equation. -2ln + 2ln + nxL = -2ln + 2ln + 3lnx Combine like terms: -2ln + 2ln = 0 0 + nxL = -2ln + 2ln + 3lnx nxL = -2ln + 2ln + 3lnx Combine like terms: -2ln + 2ln = 0 nxL = 0 + 3lnx nxL = 3lnx Solving nxL = 3lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3lnx' to each side of the equation. -3lnx + nxL = 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 -3lnx + nxL = 0 Factor out the Greatest Common Factor (GCF), 'nx'. nx(-3l + L) = 0Subproblem 1
Set the factor 'nx' equal to zero and attempt to solve: Simplifying nx = 0 Solving nx = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3l + L)' equal to zero and attempt to solve: Simplifying -3l + L = 0 Reorder the terms: L + -3l = 0 Solving L + -3l = 0 Move all terms containing n to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -1L + -3l = 0 + -1L Combine like terms: L + -1L = 0 0 + -3l = 0 + -1L -3l = 0 + -1L Remove the zero: -3l = -1L Add '3l' to each side of the equation. -3l + 3l = -1L + 3l Combine like terms: -3l + 3l = 0 0 = -1L + 3l Simplifying 0 = -1L + 3l The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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